Rapid RWG Moment Method Solution of EFIE for Multiscale Problems via Hierarchical Center of Radiation Approximation in Barnes–Hut Algorithm
Bibliographic record
Abstract
The Barnes-Hut algorithm utilizing hierarchical center-of-radiation approximation is applied for acceleration of quasi-static interactions in RWG Moment Method discretization of the electric field integral equation. As the method uses imbalanced oct-tree in hierarchical partitioning of the model, it maintains efficiency in memory and CPU usage when geometry of about a wavelength in size presents multiscale features. Because the center-of-radiation position in each box of hierarchically partitioned space is dependent on the direction to the observation point, the field evaluation in the Barnes-Hut algorithm is done via an interpolation scheme. Augmentation of the Barnes-Hut algorithm with local interpolation schemes is demonstrated. Impact on the error control mechanisms via angular interpolation and source clustering distance on the efficiency of the algorithm is studied.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".